Question

30 POINTS IF YOU ANSWER THIS PLEASE!!!!! IM GOING TO FAIL IF I DONT GET THIS ANSWERED AND PLEASE DONT LOOK IT UP ON BRAINLY OR PEER ANSWER CAUSE THOSE ARE WRONG.
The coordinate plane below represents a town. Points A through F are farms in the town.
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Part A: Using the graph above, create a system of inequalities that only contains points D and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Part B: Explain how to verify that the points D and F are solutions to the system of inequalities created in Part A. (3 points)

Part C: Chickens can only be raised in the area defined by y > 2x − 2. Explain how you can identify farms in which chickens can be raised. (2 points)

Answer 1

Part A:

An example of a system of inequalities that would only have D and F as solutions is $y>x$ and $y>-x$ . These would both be dotted lines since its not greater than or equal to, and they would be shaded in the upper region since its greater than.

Part B:

You can verify by plugging in the coordinates of D and F into both inequalities. If the coordinates are true for both inequalities, then they are in the overlapping shaded region.

D = (2,4)

F = (-2,3)

$4>2 \\ 4>-2$ true

$3>-2 \\ 3>2$ true

Part C:

You can either plug the inequality into a graph. If the coordinate is in the shaded region, in this context it would be able to raise chickens in that farm.

The other option is plugging in the coordinates of each farm into the inequality. If the inequality is true for those coordinates, then that farm can raise chickens.